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Popular >

simplify log_{1/3}(\sqrt[4]{243})

Solution

simplify

Solution

- \frac{5}{4}

+1

Decimal Notation

- 1.25

Solution steps

Apply log rule:

lo g_{\frac{1}{a}} (x) = - lo g_{a} (x)

= - lo g_{3} (3^{\frac{5}{4}})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{3} (3^{\frac{5}{4}}) = \frac{5}{4}

= - \frac{5}{4}

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Frequently Asked Questions (FAQ)

What is log_{1/3}(\sqrt[4]{243}) ?
The solution to log_{1/3}(\sqrt[4]{243}) is -5/4